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Finding the Fourth Proportional to 417,324, 575,907.12 and 238,476

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Solution

The fourth proportional to 417,324, 575,907.12 and 238,476 is: 329,096.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,324 : 575,907.12 = 238,476 : x
  2. Step 2: Convert to fraction form
    417,324/575,907.12 = 238,476/x
  3. Step 3: Cross multiply
    417,324x = 575,907.12 × 238,476
  4. Step 4: Simplify right side
    417,324x = 137,340,026,349.12
  5. Step 5: Solve for x
    x = 137,340,026,349.12/417,324
  6. Step 6: Final answer
    x = 329,096.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.